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jipmat 2023 Complete Paper Solution | QA

Question 1.

Given below are two statements:
Statement (I):
4 boys and 8 girls completed 1/3 of work in 5 days. After that 3 boys and 3 girls increased, and they completed another 1/3 of work in 3 days. If the remaining work is to be completed in 2 days, then the number of girls that should be increased is 32.
Statement (II):
The ratio of time taken by A and C to do a work is 1:2 respectively. B is 166 (2/3)% more efficient than C. Time taken by A to complete 6% of work is 6 days.
Then, the time taken by B and C together to complete the whole work is 54 (6/11) days.
In light of the above statements, choose the most appropriate answer from the options given below.

A
B
C
D

Question 2.

The number of integral solutions of the equation $7\left(y+\frac{1}{y}\right)-2\left(y^2+\frac{1}{y^2}\right)=9 \text { is }$

A
B
C
D

Question 3.

Given below are two statements:
Statement (I): The difference, the sum, and the product of two numbers are in the ratio 1: 5: 12. The product of the two numbers is 18.
Statement (II): The last digit in the decimal representation of 291 is 6.
In light of the above statements, choose the most appropriate answer from the options given below.

A
B
C
D

Question 4.

In a Women's Chess Championship having 300 entrants, a player is eliminated whenever she loses a match. It is given that no match results in a draw. The number of matches that are played in the entire Championship is:

A
B
C
D

Question 5.

The total number of seconds in P weeks, P days, P hours, P minutes, and P seconds is:

A
B
C
D

Question 6.

Sumit has Rs. 90000 with him. He purchases three items A, B, and C for Rs. 15000, Rs. 13000, and Rs. 35000 respectively and puts the remaining money in a bank deposit that pays compound interest @15% per annum. After 2 years, he sells off the three items at 80% of their original price and also withdraws his entire money from the bank by closing the account. What is the total change in his asset?

A
B
C
D

Question 7.

How many proper divisors (that is, divisors other than 1 or 7200) does 7200 have?

A
B
C
D

Question 8.

If the difference between the circumference and radius of a circle is 37 cm, using π = 22/7, what is the circumference (in cm) of the circle?

A
B
C
D

Question 9.

Let A and B be two events such that P(A)=0.25, P(B)=0.50 and P(A ∩ B)=0.14. The probability that neither A nor B occurs is:

A
B
C
D

Question 10.

Which of the following statements are True in the context of circles?
  • A. A tangent of a circle touches it at two points.
  • B. A circle can have two parallel tangents at the most.
  • C. There is no tangent to a circle passing through a point inside the circle.
Choose the correct answer from the options given below:

A
B
C
D